- Gazi University Journal of Science
- Vol: 29 Issue: 4
- TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONO...
TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS
Authors : Sedat Temel
Pages : 915-921
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Publication Date : 2016-12-19
Article Type : Other
Abstract :The aim of this paper is to introduce the notion of Schreier internal categories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them. This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules. Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.Keywords : Schreier Internal Category-Topological Crossed Semimodule